Given numbers are 728,360,137,270,703

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 728,360,137,270,703 is 9465445080.

Find LCM of 728,360,137,270,703 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 3 x 5 x 91 x 1 x 137 x 3 x 703 = 9465445080

Therefore, the lowest common multiple of 728,360,137,270,703 is 9465445080.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

728 x 360 x 137 x 270 x 703 = 6815120457600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

137 : 1, 137

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,360,137,270,703, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

360:2x 2x 2x 3x 3x 5

137:137

270:2x 3x 3x 3x 5

703:19x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 6815120457600/(1x720)

LCM = 6815120457600/720

LCM = 9465445080

Thus, we can understand that the LCM of 728,360,137,270,703 is 9465445080.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 152, 478, 606, 184, 740
• LCM of 167, 502, 887, 655, 817
• LCM of 560, 258, 759, 391, 525
• LCM of 202, 142, 336, 711, 763
• LCM of 895, 505, 756, 480, 565

1. What is the LCM of 728, 360, 137, 270, 703?

Answer: LCM of 728, 360, 137, 270, 703 is 9465445080.

2. How to calculate the LCM of 728, 360, 137, 270, 703?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 728, 360, 137, 270, 703.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.